Question
Mrs Keith wants the interior of his classroom to be repainted on average it cost $3.50 for square foot to paint a wall and she has no more than $350 to spend model this scenario using a one-step inequality and let A Be the unknown area which model can be used to find the largest Ariel that can be repainted A 3.5A < 350 B 350A > 3.5 C 3.5A < 350 D 3.5A > 350
Answers
GPT-4o mini
To model the scenario of repainted classroom walls, we first recognize that the cost to paint an area \( A \) (in square feet) at a rate of $3.50 per square foot can be expressed as \( 3.5A \).
Mrs. Keith wants to spend no more than $350. Therefore, the inequality should express that the total cost is less than or equal to $350.
This relation can be written as:
\[ 3.5A \leq 350 \]
However, since the first option in your choices is \( 3.5A < 350 \), and the instruction is to proceed with the constraints of "no more than $350", the correct model that finds the largest area \( A \) she can repaint within her budget is:
**C. \( 3.5A < 350 \)**
If you were to include the possibility of spending exactly $350, the inequality would be \( 3.5A \leq 350 \). But based on the provided options, the best fit is choice C.
Mrs. Keith wants to spend no more than $350. Therefore, the inequality should express that the total cost is less than or equal to $350.
This relation can be written as:
\[ 3.5A \leq 350 \]
However, since the first option in your choices is \( 3.5A < 350 \), and the instruction is to proceed with the constraints of "no more than $350", the correct model that finds the largest area \( A \) she can repaint within her budget is:
**C. \( 3.5A < 350 \)**
If you were to include the possibility of spending exactly $350, the inequality would be \( 3.5A \leq 350 \). But based on the provided options, the best fit is choice C.